How to find the volume of a pentagonal pyramid

How to find the volume of a pentagonal pyramid

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains how to calculate the volume of a pyramid with a pentagon base. It begins by discussing the formula for the area of a pentagon, which involves the apothem and perimeter. The tutorial then differentiates between height and slant height, emphasizing their roles in volume and surface area calculations. Finally, it demonstrates the complete process of calculating the pyramid's volume using the base area and height.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

If the apothem of a regular Pentagon is 5.5 and the perimeter is 25, what is the area of the base?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final volume of the pyramid if the area of the base is 68.75 and the height is 11?

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